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Finding the Fourth Proportional to 485,275.80, 727,784.10 and 148,315.80

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Solution

The fourth proportional to 485,275.80, 727,784.10 and 148,315.80 is: 222,434.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,275.80 : 727,784.10 = 148,315.80 : x
  2. Step 2: Convert to fraction form
    485,275.80/727,784.10 = 148,315.80/x
  3. Step 3: Cross multiply
    485,275.80x = 727,784.10 × 148,315.80
  4. Step 4: Simplify right side
    485,275.80x = 107,941,881,018.78
  5. Step 5: Solve for x
    x = 107,941,881,018.78/485,275.80
  6. Step 6: Final answer
    x = 222,434.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.